Eigenvalues of discrete linear second-order periodic and antiperiodic eigenvalue problems with sign-changing weight

Eigenvalues of discrete linear second-order periodic and antiperiodic eigenvalue problems with sign-changing weight
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具有变号权重的离散线性二阶周期和反周期特征值问题的特征值

DOI:
10.1016/j.laa.2014.11.002
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发表时间:
2015-02
影响因子:
1.1
通讯作者:
Ruyun Ma
Ruyun Ma
中科院分区:
数学3区
文献类型:
--
作者:
Chenghua Gao;Ruyun Ma

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By virtue of the eigenvalues of discrete linear second-order Neumann eigenvalue problems, we study the eigenvalues of discrete linear second-order periodic and antiperiodic eigenvalue problems with sign-changing weight. We find that these two problems haveTreal eigenvalues (including the multiplicity) respectively. Furthermore, the numbers of positive eigenvalues are equal to the numbers of positive elements in the weight function, and the numbers of negative eigenvalues are equal to the numbers of negative elements in the weight function. Furthermore, these eigenvalues, including the eigenvalues of Neumann problem, satisfy the order relation.
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